Putting aside the local control vs. state control differences, I'm not sure the premises are even correct. California seems to be building tons of housing, and I doubt Paris is building more.
Per U.S. Census, through September of this year, here are housing permits for selected California MSAs:
LA: 24,105
SF: 11,203
SD: 7,058
SJ: 5,217
IE: 11,482
SAC: 7,864
FRES: 2,553
BAK: 1,585
STOC: 1,819
VIS: 1,398
OXN: 646
VALL: 726
https://www.census.gov/construction/...t3yu201910.txt
Just eyeballing the unit counts, that's something like 76k units, in 9 months, in the largest CA metros (not statewide, not comprehensive). That's a ton of units. Frankly I don't believe Paris is building more, and if it is, that's great; Paris is vastly outbuilding every place in America and probably almost every place in the developed world.
To illustrate further, the "anti-growth" SF MSA is permitting more multifamily units than pro-growth, twice-the-size Chicago, and, by CSA, about as many multifamily units as crazy-growth Miami.